Properties of Exponent Practice

Front

What is the product of two powers with the same base?

Back

To multiply two powers with the same base, add the exponents: a^m • a^n = a^(m+n).

Front

What is the power of a power property?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

How do you simplify the expression 9^7 • 9^9?

Back

9^7 • 9^9 = 9^(7+9) = 9^16.

Front

What is the result of (2x^3y)^6?

Back

(2x^3y)^6 = 2^6 • (x^3)^6 • (y)^6 = 64x^(3*6)y^6 = 64x^18y^6.

Front

How do you simplify (5x^2y^2)^3?

Back

(5x^2y^2)^3 = 5^3 • (x^2)^3 • (y^2)^3 = 125x^(2*3)y^(2*3) = 125x^6y^6.

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Front

How do you simplify the expression 7^5?

Back

7^5 is already in its simplest form, representing 7 multiplied by itself five times.

Front

What is the base in an exponential expression?

Back

The base is the number that is being raised to a power in an exponential expression, such as in a^n.